Finding the Third Proportional to 31,522 and 51,594

Step by Step Solution

1. Step 1: Write the proportion equation
   31,522 : 51,594 = 51,594 : x
2. Step 2: Convert to fraction form
   31,522/51,594 = 51,594/x
3. Step 3: Cross multiply
   31,522x = 51,594 × 51,594
4. Step 4: Simplify right side
   31,522x = 2,661,940,836
5. Step 5: Solve for x
   x = 2,661,940,836/31,522
6. Step 6: Final answer
   x = 84,447.08